Entanglement of Tripartite States with Decoherence in Noninertial frames

TL;DR

This paper investigates how tripartite entanglement in GHZ states behaves under decoherence in noninertial frames, revealing different entanglement decay and rebirth patterns depending on the noise channel and acceleration.

Contribution

It provides a detailed analysis of entanglement dynamics of tripartite states under various noisy channels in noninertial frames, highlighting phenomena like sudden death and rebirth.

Findings

Entanglement decay varies with noise type and acceleration.

Sudden death of entanglement can be avoided or inevitable depending on the channel.

Rebirth of entanglement occurs in phase flip channels, influenced by coupling.

Abstract

The one-tangle and {\pi}-tangle are used to quantify the entanglement of a tripartite GHZ state in noninertial frames when the system interacts with a noisy environment in the form of phase damping, phase flip and bit flip channel. It is shown that the two-tangles behave as a closed system. The one-tangle and {\pi}-tangle have different behaviors in the three channel. In the case of phase damping channel, depending on the kind of coupling, the sudden death of both one-tangle and {\pi}-tangle may or may not happen. Whereas in the case of phase flip channel the sudden death cannot be avoided. The effect of decoherence may be ignored in the limit of infinite acceleration when the system interacts with a bit flip channel. Furthermore, a sudden rebirth of the one-tangle and {\pi}-tangle occur in the case of phase flip channel that may be delayed when collective coupling is switched on.